Pith Number

pith:WAMBZWAQ

pith:2011:WAMBZWAQWT275KKY424FIVIFB6

not attested not anchored not stored refs pending

On the scaling limits of Galton Watson processes in varying environment

Florian Simatos, Vincent Bansaye

arxiv:1112.2547 v4 · 2011-12-12 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAMBZWAQWT275KKY424FIVIFB6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:42:29.250684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0181cd810b4f5fea958e6b85455050fadd7fd22742add43df4206448d6fc3c9

Aliases

arxiv: 1112.2547 · arxiv_version: 1112.2547v4 · doi: 10.48550/arxiv.1112.2547 · pith_short_12: WAMBZWAQWT27 · pith_short_16: WAMBZWAQWT275KKY · pith_short_8: WAMBZWAQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WAMBZWAQWT275KKY424FIVIFB6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b0181cd810b4f5fea958e6b85455050fadd7fd22742add43df4206448d6fc3c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb8fa3c45582600a3d0f509e69cc64a73a3797fedb2f870c26bca24e7da7bb6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-12T13:49:12Z",
    "title_canon_sha256": "a92c0a8e781d47255f40694a4c388b8b7a1d07c437cee4efa2488ca49739f544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2547",
    "kind": "arxiv",
    "version": 4
  }
}